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Finding the Fourth Proportional to 10,622.58, 14,658.48 and 6,643.50

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Solution

The fourth proportional to 10,622.58, 14,658.48 and 6,643.50 is: 9,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.58 : 14,658.48 = 6,643.50 : x
  2. Step 2: Convert to fraction form
    10,622.58/14,658.48 = 6,643.50/x
  3. Step 3: Cross multiply
    10,622.58x = 14,658.48 × 6,643.50
  4. Step 4: Simplify right side
    10,622.58x = 97,383,611.88
  5. Step 5: Solve for x
    x = 97,383,611.88/10,622.58
  6. Step 6: Final answer
    x = 9,167.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.